Fourier spectral solver for the incompressible Navier-Stokes equations with volume-penalization

G.H. Keetels, H.J.H. Clercx, G.J.F. Heijst, van

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

3 Citations (Scopus)
1 Downloads (Pure)


In this study we use a fast Fourier spectral technique to simulate the Navier-Stokes equations with no-slip boundary conditions. This is enforced by an immersed boundary technique called volume-penalization. The approach has been justified by analytical proofs of the convergence with respect to the penalization parameter. However, the solution of the penalized Navier-Stokes equations is not smooth on the surface of the penalized volume. Therefore, it is not a priori known whether it is possible to actually perform accurate fast Fourier spectral computations. Convergence checks are reported using a recently revived, and unexpectedly difficult dipole-wall collision as a test case. It is found that Gibbs oscillations have a negligible effect on the flow evolution. This allows higher-order recovery of the accuracy on a Fourier basis by means of a post-processing procedure.
Original languageEnglish
Title of host publicationProceedings of the 7th Intrenational Conference Computational Science (ICCS 2007) 27-30 May 2007, Beijing, China
EditorsYong Shi, G.D. Albada, van, J. Dongarra, P.M.A. Sloot
Place of PublicationBerlin / Heidelberg
ISBN (Print)978-3-540-72583-1
Publication statusPublished - 2007
Event7th International Conference on Computational Science (ICCS 2007) - Jiuhua Spa & Resort, Beijing, China
Duration: 27 May 200730 May 2007
Conference number: 7

Publication series

NameLecture Notes in Computer Science
ISSN (Print)0302-9743


Conference7th International Conference on Computational Science (ICCS 2007)
Abbreviated titleICCS 2007
Other"Advancing Science and Society through Computation"
Internet address


Dive into the research topics of 'Fourier spectral solver for the incompressible Navier-Stokes equations with volume-penalization'. Together they form a unique fingerprint.

Cite this